Crofton formulas in projective Finsler spaces

Author:

Álvarez Paiva J.,Fernandes E.

Abstract

We extend the classical Crofton formulas in Euclidean integral geometry to Finsler metrics on R n \mathbb {R}^n whose geodesics are straight lines.

Publisher

American Mathematical Society (AMS)

Subject

General Mathematics

Reference15 articles.

1. J.C. Álvarez Paiva, Integral geometry on Finsler manifolds, preprint 1998.

2. J.C. Álvarez Paiva, Anti-self-dual symplectic forms and integral geometry, preprint 1998.

3. Crofton densities, symplectic geometry and Hilbert’s fourth problem;Alvarez, J. C.,1997

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5. Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas];Besse, Arthur L.,1978

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